1. assign, mete, apportion. Distribute,dispense apply to giving out something. Distribute implies apportioned, individualized giving, especially of something that is definite or limited in amount or number: The prizes were distributed among ten winners.Dispense formerly implied indiscriminate, general, and liberal giving, especially of something that was more or less indefinite or unmeasured in amount: to dispense largess. It now applies chiefly to giving according to need or deserts, from an organized and official source: to dispense medicines and food to the victims.6. dispose, sort, arrange, categorize.

distribute

(often passive) to spread throughout a space or area: gulls are distributed along the west coast

4.

(often passive) to divide into classes or categories; classify: these books are distributed in four main categories

5.

(printing) to return (used type) to the correct positions in the type case

6.

(logic) to incorporate in a distributed term of a categorial proposition

7.

(maths, logic) to expand an expression containing two operators in such a way that the precedence of the operators is changed; for example, distributing multiplication over addition in a(b + c) yields ab + ac